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Resistor parasitic inductance

Replaced an old resistor yesterday that I suspected might be part of an oscillation issue I’m trying to track down (it wasn’t). As part of it, I measured its inductance, and the inductance of a couple of replacement parts. I was quite surprised:

At 10Khz:

Old carbon comp, 200ohm, 0.5W: 200nH
Metal film, 220ohm, 1W: 220nH
Metal film, 220ohm, 0.6W: 670nH

Why this huge difference? The inductance (in this case), seems proportional to the physical size of the resistor. Is that a coincidence? Is there any general rule of thumb here, and are there any scenarios where it matters enough to be aware of?

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